A nonaspherical cell-like 2-dimensional simply connected continuum and related constructions

Katsuya Eda, Umed H. Karimov, Dušan Repovš

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    We prove the existence of a 2-dimensional nonaspherical simply connected cell-like Peano continuum (the space itself was constructed in one of our earlier papers). We also indicate some relations between this space and the well-known Griffiths' space from the 1950s.

    Original languageEnglish
    Pages (from-to)515-521
    Number of pages7
    JournalTopology and its Applications
    Volume156
    Issue number3
    DOIs
    Publication statusPublished - 2009 Jan 1

      Fingerprint

    Keywords

    • Cell-like space
    • Nonaspherical space
    • Peano continuum
    • Simple connectivity
    • Trivial shape

    ASJC Scopus subject areas

    • Geometry and Topology

    Cite this